Archives
Keywords
Knaster polarized partition relation stick Strongly compact cardinal weak Kurepa tree Selective Ultrafilter Ineffable cardinal AIM forcing O-space Precaliber super-Souslin tree Club Guessing OCA stationary reflection Almost Souslin Amenable C-sequence nonmeager set Coherent tree SNR Subtle cardinal Diamond-sharp 54G20 Knaster and friends Cardinal Invariants Mandelbrot set full tree Fast club Reflecting stationary set Iterated forcing Intersection model tensor product graph Axiom R Constructible Universe Hereditarily Lindelöf space Singular cardinals combinatorics Forcing Uniformly coherent Greatly Mahlo Hedetniemi's conjecture Ramsey theory over partitions Martin's Axiom Ascending path Successor of Regular Cardinal PFA Successor of Singular Cardinal Souslin Tree incompactness Weakly compact cardinal Kurepa Hypothesis positive partition relation Small forcing Singular cofinality Almost-disjoint family Jonsson cardinal Diamond Square-Brackets Partition Relations ccc Open Access Strongly Luzin set Partition Relations Microscopic Approach Dowker space Hindman's Theorem Ascent Path Sigma-Prikry Distributive tree Interval topology on trees transformations approachability ideal Minimal Walks Erdos-Hajnal graphs sap Was Ulam right? Sierpinski's onto mapping principle strongly bounded groups square Parameterized proxy principle Reduced Power GMA Large Cardinals Postprocessing function unbounded function Cohen real perfectly normal Vanishing levels countably metacompact Commutative cancellative semigroups Subnormal ideal Ulam matrix Prevalent singular cardinals higher Baire space PFA(S)[S] Rado's conjecture ZFC construction Foundations Aronszajn tree Commutative projection system Diamond for trees very good scale free Souslin tree Ostaszewski square Rock n' Roll specializable Souslin tree indecomposable filter Rainbow sets Strong coloring Luzin set Poset L-space HOD Cardinal function Dushnik-Miller Sakurai's Bell inequality Generalized descriptive set theory weak diamond square principles reflection principles Monotonically far P-Ideal Dichotomy Subadditive Partition relations for trees Nonspecial tree Respecting tree weak square Uniformly homogeneous Fodor-type reflection Forcing Axioms Entangled linear order Universal Sequences Shelah's Strong Hypothesis Lipschitz reduction Closed coloring Local Club Condensation. Subtle tree property Slim tree Chromatic number Singular Density club_AD Absoluteness Fat stationary set Whitehead Problem stationary hitting diamond star Non-saturation S-Space Prikry-type forcing projective Boolean algebra Filter reflection xbox Analytic sets Forcing with side conditions free Boolean algebra regressive Souslin tree C-sequence Well-behaved magma Chang's conjecture coloring number Almost countably chromatic Erdos Cardinal Uniformization middle diamond b-scale Countryman line Antichain Generalized Clubs
Tag Archives: Singular Density
On topological spaces of singular density and minimal weight
Abstract: We introduce a weakening of the Generalized Continuum Hypothesis, which we will refer to as the Prevalent Singular cardinals Hypothesis (PSH), and show it implies that every topological space of density and weight $\aleph_{\omega_1}$ is not hereditarily Lindelöf. The assumption … Continue reading
Workshop on Set Theory and its Applications, February 2007
These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading
On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset $\mathbb P$, if $\text{cf}(\mathbb P)$ is a singular cardinal $\lambda$, then $\mathbb P$ must contain an antichain of size $\text{cf}(\lambda)$. The conjecture is consistent and known … Continue reading
